Edexcel C2 2010 June — Question 3

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2010
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial
3. $$y = x ^ { 2 } - k \sqrt { } x , \text { where } k \text { is a constant. }$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
  2. Given that \(y\) is decreasing at \(x = 4\), find the set of possible values of \(k\).
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